\sqrt[x]{x}=\sqrt[4]{2}

Lösung

x x = 42

x = 16, x = - \frac{4 W _{0} ( - \frac{l n ( 2 )}{4} )}{ln ( 2 )}

Dezimale

x = 16, x = 1.23962 \dots

Schritte zur Lösung

x x = 42

Wende Exponentenregel an

\frac{1}{x} ln (x) = \frac{1}{4} ln (2)

Löse

\frac{1}{x} ln (x) = \frac{1}{4} ln (2) : x = 16, x = - \frac{4 W _{0} ( - \frac{l n ( 2 )}{4} )}{ln ( 2 )}

x = 16, x = - \frac{4 W _{0} ( - \frac{l n ( 2 )}{4} )}{ln ( 2 )}

4^{x} = 2^{2 x}

e^{y} = 1

3^{2 (x + 1)} - 28 \cdot 3^{x} + 3 = 0

e^{- x} - e^{- x} x = 0

7^{x} = 21